Pregunta
\begin{tabular}{l} Use FOIL to multiply. \\ \( \begin{array}{l}(x+5)(x+2) \\ (x+5)(x+2)=\square(\text { Simplify your answer.) }\end{array} \) \\ \hline\end{tabular}
Ask by Hamilton Clarke. in the United Arab Emirates
Mar 16,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
\( x^2 + 7x + 10 \)
Solución
1. **Multiply the first terms:**
\( x \times x = x^2 \)
2. **Multiply the outer terms:**
\( x \times 2 = 2x \)
3. **Multiply the inner terms:**
\( 5 \times x = 5x \)
4. **Multiply the last terms:**
\( 5 \times 2 = 10 \)
5. **Combine all the products:**
\( x^2 + 2x + 5x + 10 \)
6. **Simplify by combining like terms:**
\( x^2 + 7x + 10 \)
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Beyond the Answer
To apply the FOIL method, we use the acronym to remember the order: First, Outside, Inside, Last. First, multiply the first terms: \( x \cdot x = x^2 \). Next, the outside terms: \( x \cdot 2 = 2x \). Then, the inside terms: \( 5 \cdot x = 5x \). Finally, the last terms: \( 5 \cdot 2 = 10 \). Now, combine all these results: \[ (x + 5)(x + 2) = x^2 + 2x + 5x + 10 = x^2 + 7x + 10 \] So, the simplified answer is \( \square = x^2 + 7x + 10 \).

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